1253770638961 has 9 divisors (see below), whose sum is σ = 1298528549643. Its totient is φ = 1210505816520.

The previous prime is 1253770638931. The next prime is 1253770638997. The reversal of 1253770638961 is 1698360773521.

The square root of 1253770638961 is 1119719.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 657446910561 + 596323728400 = 810831^2 + 772220^2 .

It is not a de Polignac number, because 1253770638961 - 2¹⁹ = 1253770114673 is a prime.

It is a super-2 number, since 2×1253770638961² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1253770638896 and 1253770638905.

It is not an unprimeable number, because it can be changed into a prime (1253770638931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32452546 + ... + 32491156.

Almost surely, 2^{1253770638961} is an apocalyptic number.

1253770638961 is the 1119719-th square number.

1253770638961 is the 559860-th centered octagonal number.

It is an amenable number.

1253770638961 is a deficient number, since it is larger than the sum of its proper divisors (44757910682).

1253770638961 is an frugal number, since it uses more digits than its factorization.

1253770638961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77280 (or 38640 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 58.

The spelling of 1253770638961 in words is "one trillion, two hundred fifty-three billion, seven hundred seventy million, six hundred thirty-eight thousand, nine hundred sixty-one".